211545451392 has 128 divisors (see below), whose sum is σ = 613235750400. Its totient is φ = 64080138240.

The previous prime is 211545451391. The next prime is 211545451393. The reversal of 211545451392 is 293154545112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211545451391) and next prime (211545451393).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211545451391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13166628 + ... + 13182684.

It is an arithmetic number, because the mean of its divisors is an integer number (4790904300).

Almost surely, 2^211545451392 is an apocalyptic number.

211545451392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211545451392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306617875200).

211545451392 is an abundant number, since it is smaller than the sum of its proper divisors (401690299008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211545451392 is a wasteful number, since it uses less digits than its factorization.

211545451392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19204 (or 19192 counting only the distinct ones).

The product of its digits is 216000, while the sum is 42.

The spelling of 211545451392 in words is "two hundred eleven billion, five hundred forty-five million, four hundred fifty-one thousand, three hundred ninety-two".